Alleviating the Hubble-constant tension and the growth tension via a transition of absolute magnitude favored by the Pantheon+ sample
Yang Liu, Hongwei Yu, and Puxun Wu

TL;DR
This paper proposes a model-independent method to analyze supernova data, revealing a low-redshift transition in absolute magnitude that alleviates the Hubble constant and growth tensions in cosmology.
Contribution
It introduces a novel, model-independent approach to detect absolute magnitude variation, providing evidence for a transition that reduces key cosmological tensions.
Findings
Deviation from $ m extLambda$CDM at low redshift in supernova data
Transition in absolute magnitude $M$ improves Hubble constant estimates
Variation in $M$ linked to modifications in Newton's constant resolves growth tension
Abstract
We establish a cosmological-model-independent method to extract the apparent magnitude and its derivative at different redshifts from the Pantheon+ type Ia supernova sample, and find that the obtained values deviate clearly from the prediction of the CDM model at the lowest redshift. This deviation can be explained as a result of a transition of the absolute magnitude in the low redshift region. The observations seem to favor this transition since the minimum values of for two ansatzes of a varying are less than that of a constant . The Hubble constant tension is alleviated from larger than to be about to for a varying , and the growth tension can be resolved after attributing the variation of to a modification of the effective Newton's constant.
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